7768263360 has 448 divisors, whose sum is σ = 29421149184. Its totient is φ = 1711718400.

The previous prime is 7768263359. The next prime is 7768263361. The reversal of 7768263360 is 633628677.

It is an interprime number because it is at equal distance from previous prime (7768263359) and next prime (7768263361).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7768263361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9746482 + ... + 9747278.

It is an arithmetic number, because the mean of its divisors is an integer number (65672208).

Almost surely, 2^7768263360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7768263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710574592).

7768263360 is an abundant number, since it is smaller than the sum of its proper divisors (21652885824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7768263360 is a wasteful number, since it uses less digits than its factorization.

7768263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The square root of 7768263360 is about 88137.7521837266. The cubic root of 7768263360 is about 1980.4990885526.

The spelling of 7768263360 in words is "seven billion, seven hundred sixty-eight million, two hundred sixty-three thousand, three hundred sixty".